Linear independence of time frequency translates for special configurations

Published 3 Jun 2010 in math.CA | (1006.0732v2)

Abstract: We prove that for any 4 points in the plane that belong to 2 parallel lines, there is no linear dependence between the associated time-frequency translates of any nontrivial Schwartz function. If mild Diophantine properties are satisfied, we also prove linear independence in the category of $L^2(\R)$ functions.

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Ciprian Demeter

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